Journal of Applied Mathematics and Decision Sciences
Volume 2008 (2008), Article ID 605064, 10 pages
Analytic Solution of Multipantograph Equation
1Department of Mathematics, Hashemite University, Zarqa 13115, Jordan
2Department of Mathematics, Tafila Technical University, Tafila 66110, Jordan
Received 19 May 2008; Accepted 25 September 2008
Academic Editor: Graham Wood
Copyright © 2008 Fadi Awawdeh et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
We apply the homotopy analysis method (HAM) for solving the
multipantograph equation. The analytical results have been obtained
in terms of convergent series with easily computable components. Several
examples are given to illustrate the efficiency and implementation
of the homotopy analysis method. Comparisons are made to confirm
the reliability of the homotopy analysis method.